Comparison of suboptimal control methods in magnetic levitation system

The use of active magnetic bearings (AMB) is increasing in high-speed applications, because their low friction operation allows higher rotational speeds than the traditional bearings. The inherent instability and complexity of the AMB rotor system with high nonlinearities pose challenges to the controller design. This leads to a problem of robust design. Robustness of LQG and loop-shaping H∞ controllers is compared with the help of the evolutionary algorithm both theoretically and based on experimental measurements.

[1]  M. Safonov,et al.  A Schur method for balanced-truncation model reduction , 1989 .

[2]  John C. Doyle,et al.  Guaranteed margins for LQG regulators , 1978 .

[3]  Yuri N. Zhuravlyov,et al.  On LQ-control of magnetic bearing , 2000, IEEE Trans. Control. Syst. Technol..

[4]  Rafal Piotr Jastrzebski,et al.  Design and implementation of FPGA-based LQ control of active magnetic bearings , 2007 .

[5]  Rafal P. Jastrzebski,et al.  H∞ control of active magnetic suspension , 2010 .

[6]  C. Knospe,et al.  PID control , 2006, IEEE Control Systems.

[7]  Jerzy T. Sawicki,et al.  Modeling and performance evaluation of machining spindle with active magnetic bearings , 2007 .

[8]  J. D. Perkins,et al.  On the design of robust two degree of freedom controllers , 1993, Autom..

[9]  Dong-Chul Han,et al.  System modeling and robust control of an AMB spindle: part I modeling and validation for robust control , 2003 .

[10]  Riku Pöllänen,et al.  Centralized optimal position control for active magnetic bearings: comparison with decentralized control , 2009 .

[11]  Panagiotis Tsiotras,et al.  A combined application of H/sub /spl infin// loop shaping and /spl mu/-synthesis to control high-speed flywheels , 2005, IEEE Transactions on Control Systems Technology.

[12]  Rafal P. Jastrzebski,et al.  Differential evolution approach for tuning an H∞controller in AMB systems , 2009, 2009 35th Annual Conference of IEEE Industrial Electronics.

[13]  Alan F. Lynch,et al.  Experimental comparison of nonlinear tracking controllers for active magnetic bearings , 2007 .

[14]  Nobuyuki Matsui,et al.  Optimal design of robust vibration suppression controller using genetic algorithms , 2002, 7th International Workshop on Advanced Motion Control. Proceedings (Cat. No.02TH8623).

[15]  K. Glover,et al.  Robust stabilization of normalized coprime factor plant descriptions with H/sub infinity /-bounded uncertainty , 1989 .

[16]  Ian Postlethwaite,et al.  Multivariable Feedback Control: Analysis and Design , 1996 .

[17]  M. Safonov,et al.  A Schur Method for Balanced Model Reduction , 1988, 1988 American Control Conference.